Holographic Approach to Finite Temperature QCD: The Case of Scalar Glueballs and Scalar Mesons

TL;DR

This paper investigates how scalar glueballs and mesons behave at finite temperature using holographic QCD, revealing mass decreases and broadening widths, with states disappearing at low temperatures around 40-60 MeV, and emphasizes the importance of the Hawking-Page transition.

Contribution

It introduces a holographic model incorporating the Anti-de Sitter-Black Hole metric to study in-medium hadron modifications at finite temperature.

Findings

Hadron masses decrease with increasing temperature.

Hadron widths become broader as temperature rises.

States disappear from spectral functions around 40-60 MeV.

Abstract

We study scalar glueballs and scalar mesons at $T \neq 0$ in the soft wall holographic QCD model. We find that, using the Anti-de Sitter-Black Hole metric for all values of the temperature, the masses of the hadronic states decrease and the widths become broader when T increases, and there are temperatures for which the states disappear from the scalar glueball and scalar meson spectral functions. However, the values of the temperatures in correspondence of which such phenomena occur are low, of the order of 40-60 MeV. A consistent holographic description of in-medium effects on hadron properties should include the Hawking-Page transition, which separates the phase with the Anti-de Sitter metric at small temperatures from the phase with Anti-de Sitter-Black Hole metric at high temperatures.